Answer:
14/15÷3/5 =1 5/9
Step-by-step explanation:
14/15÷3/5=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
14/15×5/3=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
14×5 15×3=7045
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 70 and 45 using
GCF(70,45) = 5
70÷5 45÷5=14/9
The fraction
14/9
is the same as
14÷9
Convert to a mixed number using
long division for 14 ÷ 9 = 1R5, so
14/9=1 5/9
Therefore:
14/15÷3/5=1 5/9
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